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Finding the Fourth Proportional to 51,400, 77,101.35 and 16,339.65

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Solution

The fourth proportional to 51,400, 77,101.35 and 16,339.65 is: 24,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,400 : 77,101.35 = 16,339.65 : x
  2. Step 2: Convert to fraction form
    51,400/77,101.35 = 16,339.65/x
  3. Step 3: Cross multiply
    51,400x = 77,101.35 × 16,339.65
  4. Step 4: Simplify right side
    51,400x = 1,259,809,073.53
  5. Step 5: Solve for x
    x = 1,259,809,073.53/51,400
  6. Step 6: Final answer
    x = 24,509.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.